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144401400 = 2333521121317
BaseRepresentation
bin10001001101101…
…10001111111000
3101001201100111000
420212312033320
5243431321100
622155005000
73402251223
oct1046661770
9331640430
10144401400
1174568a00
1240439760
1323bbb820
141526c5ba
15ca25900
hex89b63f8

144401400 has 576 divisors, whose sum is σ = 623397600. Its totient is φ = 30412800.

The previous prime is 144401381. The next prime is 144401443. The reversal of 144401400 is 4104441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8494192 + ... + 8494208.

Almost surely, 2144401400 is an apocalyptic number.

144401400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311698800).

144401400 is an abundant number, since it is smaller than the sum of its proper divisors (478996200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144401400 is a wasteful number, since it uses less digits than its factorization.

144401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144401400 is about 12016.7133609819. The cubic root of 144401400 is about 524.6348481266.

Adding to 144401400 its reverse (4104441), we get a palindrome (148505841).

The spelling of 144401400 in words is "one hundred forty-four million, four hundred one thousand, four hundred".